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tmua.me Medium Set A Paper 2 · Q13

Paper 2ProbabilityStatistics

A fair six-sided die, numbered 11 to 66, is rolled four times independently.

Given that the largest result is exactly 22 greater than the smallest result, what is the probability that the mean of the four results is halfway between the smallest and largest results?

A325\dfrac3{25}
B625\dfrac6{25}
C13\dfrac13
D925\dfrac9{25}
E1849\dfrac{18}{49}
F1825\dfrac{18}{25}

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